LLMs-Pharmaceutical / Git / [404218] /Code/PennyLane/Benchmarking Devices II/lightning.kokkos 25 qubit V100 59.79s (2) kkawchak.ipynb

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[404218]: / Code / PennyLane / Benchmarking Devices II / lightning.kokkos 25 qubit V100 59.79s (2) kkawchak.ipynb
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{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "id": "rqYMIG5_jAmf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "eb4ff316-3692-429f-c133-9304690a05d5"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Time in seconds since beginning of run: 1701155743.9104416\n",
            "Tue Nov 28 07:15:43 2023\n"
          ]
        }
      ],
      "source": [
        "# This cell is added by sphinx-gallery\n",
        "# It can be customized to whatever you like\n",
        "%matplotlib inline\n",
        "\n",
        "# !pip install pennylane custatevec-cu11 pennylane-lightning-kokkos\n",
        "\n",
        "import time\n",
        "seconds = time.time()\n",
        "print(\"Time in seconds since beginning of run:\", seconds)\n",
        "local_time = time.ctime(seconds)\n",
        "print(local_time)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "30MBcn8AjAmh",
        "outputId": "bb8651a2-65c6-4093-e2d8-2f152e6199bd"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[0.94 0.18 0.38]\n",
            " [0.18 0.66 0.75]\n",
            " [0.38 0.75 0.18]]\n"
          ]
        }
      ],
      "source": [
        "import numpy as np\n",
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "def create_data_point(n):\n",
        "    \"\"\"\n",
        "    Returns a random undirected adjacency matrix of dimension (n,n).\n",
        "    The diagonal elements are interpreted as node attributes.\n",
        "    \"\"\"\n",
        "    mat = np.random.rand(n, n)\n",
        "    A = (mat + np.transpose(mat))/2\n",
        "    return np.round(A, decimals=2)\n",
        "\n",
        "A = create_data_point(3)\n",
        "print(A)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fZNWu6j_jAmh"
      },
      "source": [
        "Let\\'s also write a function to generate permuted versions of this\n",
        "adjacency matrix.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "9AlMlrsVjAmi",
        "outputId": "d5e0d52f-8384-49ed-f25c-2f1c2583a258"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[0.66 0.75 0.18]\n",
            " [0.75 0.18 0.38]\n",
            " [0.18 0.38 0.94]]\n"
          ]
        }
      ],
      "source": [
        "def permute(A, permutation):\n",
        "    \"\"\"\n",
        "    Returns a copy of A with rows and columns swapped according to permutation.\n",
        "    For example, the permutation [1, 2, 0] swaps 0->1, 1->2, 2->0.\n",
        "    \"\"\"\n",
        "\n",
        "    P = np.zeros((len(A), len(A)))\n",
        "    for i,j in enumerate(permutation):\n",
        "        P[i,j] = 1\n",
        "\n",
        "    return P @ A @ np.transpose(P)\n",
        "\n",
        "A_perm = permute(A, [1, 2, 0])\n",
        "print(A_perm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Js9CqRTZjAmi"
      },
      "source": [
        "If we create [networkx]{.title-ref} graphs from both adjacency matrices\n",
        "and plot them, we see that they are identical as claimed.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 487
        },
        "id": "Q7N1C_MKjAmi",
        "outputId": "c4bad48f-0c65-49a9-ccc3-5ace69505f02"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(1, 2)\n",
        "\n",
        "# interpret diagonal of matrix as node attributes\n",
        "node_labels = {n: A[n,n] for n in range(len(A))}\n",
        "np.fill_diagonal(A, np.zeros(len(A)))\n",
        "\n",
        "G1 = nx.Graph(A)\n",
        "pos1=nx.spring_layout(G1)\n",
        "nx.draw(G1, pos1, labels=node_labels, ax=ax1, node_size = 800, node_color = \"#ACE3FF\")\n",
        "edge_labels = nx.get_edge_attributes(G1,'weight')\n",
        "nx.draw_networkx_edge_labels(G1,pos1,edge_labels=edge_labels, ax=ax1)\n",
        "\n",
        "# interpret diagonal of permuted matrix as node attributes\n",
        "node_labels = {n: A_perm[n,n] for n in range(len(A_perm))}\n",
        "np.fill_diagonal(A_perm, np.zeros(len(A)))\n",
        "\n",
        "G2 = nx.Graph(A_perm)\n",
        "pos2=nx.spring_layout(G2)\n",
        "nx.draw(G2, pos2, labels=node_labels, ax=ax2, node_size = 800, node_color = \"#ACE3FF\")\n",
        "edge_labels = nx.get_edge_attributes(G2,'weight')\n",
        "nx.draw_networkx_edge_labels(G2,pos2,edge_labels=edge_labels, ax=ax2)\n",
        "\n",
        "ax1.set_xlim([1.2*x for x in ax1.get_xlim()])\n",
        "ax2.set_xlim([1.2*x for x in ax2.get_xlim()])\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {
        "id": "eUhWZ9_3jAmi"
      },
      "outputs": [],
      "source": [
        "import pennylane as qml\n",
        "\n",
        "def perm_equivariant_embedding(A, betas, gammas):\n",
        "    \"\"\"\n",
        "    Ansatz to embedd a graph with node and edge weights into a quantum state.\n",
        "\n",
        "    The adjacency matrix A contains the edge weights on the off-diagonal,\n",
        "    as well as the node attributes on the diagonal.\n",
        "\n",
        "    The embedding contains trainable weights 'betas' and 'gammas'.\n",
        "    \"\"\"\n",
        "    n_nodes = len(A)\n",
        "    n_layers = len(betas) # infer the number of layers from the parameters\n",
        "\n",
        "    # initialise in the plus state\n",
        "    for i in range(n_nodes):\n",
        "        qml.Hadamard(i)\n",
        "\n",
        "    for l in range(n_layers):\n",
        "\n",
        "        for i in range(n_nodes):\n",
        "            for j in range(i):\n",
        "            \t# factor of 2 due to definition of gate\n",
        "                qml.IsingZZ(2*gammas[l]*A[i,j], wires=[i,j])\n",
        "\n",
        "        for i in range(n_nodes):\n",
        "            qml.RX(A[i,i]*betas[l], wires=i)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "glOVsqRvjAmi"
      },
      "source": [
        "We can use this ansatz in a circuit.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 65
        },
        "id": "0oMs3Tu0jAmi",
        "outputId": "59228037-4a07-4e74-a1dd-b1110b24a938"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 58400x2600 with 1 Axes>"
            ],
            "image/png": 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fv38x3ZIlS7Js2bJ06tSpeD7Ur18/rVq1Kj6/MGvWrFRVVWX9+vVp1KhROnTokFmzZqVZs2ZZuXJl8RxZvXp1VqxYkUKhkKqqqmJbM2fOnCxdurQ4jz1o0KBMnz49HTt2zLp16/Lmm2+msrIyJ5xwQh577LEceeSRee6559KtW7c0a9asOJ+5Zs2aFAqFHHLIIZk2bVr23XffrFixIuPGjUtJSUmaNWuWioqKHHjggZk+fXoWLFiQtm3bpl+/ftm4cWOGDRuWzp07Z6+99sqoUaOybt26HH744SkUChkxYkT23nvv4vOlnTt3TmlpaTZs2JCZM2dm48aN6dmzZ2bNmpV99tkny5cvT/PmzYv/f/XVV1NeXp4FCxakQ4cOWb9+fVq1apU333wzGzZsSLdu3Yr3U9X/nzhxYo477riMHj06LVq0SP369bN06dJ07959k/zfeeed9OzZM/Xq1cvUqVPTqlWrYjtZM4bN006ePDlt27ZNu3bttkhbr169TJgwIb17905paWkqKyuzatWqTdJUVFSkTZs2KS0tzbx589K6desUCoWtpu3QoUMKhULxHFmyZEk2bty4xbZrpp07d2769euXGTNmbFGWVq1aZcaMGenWrVumTJmS9u3bp2fPnnnzzTeLaZo2bZqVK1emoqIiZWVladeuXd54442tpl21alXmz5+fsrKyNG7cOO+8807atWu3xbY3T7t8+fKsXbs2HTt23CTtihUr0qRJk+K1qVOnTls9hq1bt06bNm0yffp0x9vx3uXH+5VXXslee+2VjRs3Zt68ecX3eSZPnpzevXvnjTfeyJAhQ/LMM88U275evXplxYoVqV+/frFv3qBBgyxZsiQNGjTInDlz0rt370yePDn16tVLu3bt0rp16yxZsqS47+bOnZsk6d69e2bNmpUjjjgikydPTr9+/VJZWZmlS5dmxYoVKS0tzezZs4v9tQULFqRhw4bF5x6XLl2aFi1apLS0NM2bN8/s2bNzzDHHZNq0aWnQoEFatGiRZcuW5e233y6+D9ajR49069Ytf/3rXzNw4MDMmDEjq1atyh577JHS0tIUCoVie96tW7e88847Wb9+ffr06ZO5c+emffv2qaqqyrx589KyZcu0adMmc+bMSdeuXbN48eKUlJTknXfeyT777JMxY8akf//+mTRpUrp3755CoVDsZ3fs2DFPPvlk+vbtm8rKyrRu3TqrVq1Kly5dsmbNmjz//PNp0qRJevbsmRdffDHt2rXLunXr0rVr19SrVy8rV65Mw4YN06lTpyxcuDAtW7bMggUL0rRp06xfvz5vvfVWWrdunVmzZhWvl+Xl5Zk5c2b22muvNG7cOLNmzUp5eXlGjx6dAw44IIVCITNmzEi7du3y+uuvZ/Xq1WnWrFm6deuWcePGpUePHlmxYkXKy8szefLkNGrUKCtXrsx+++2XVq1aZc2aNXn22Wdz3HHHFZ/7bdWqVfbff/+8/fbbxT5gkrz88sspFAopLS1Njx49Mm7cuOLz/YMGDcrixYtTVVWVHj16pKSkJMOHD8/gwYOzaNGiVFZW5q233kqnTp3SpUuXTJ06NRUVFTn44IPz1ltvZc6cOWnfvn3xWtq8efO8/vrr6dOnT1599dU0bdo0bdu2TUVFRbp165YJEyakf//+6dSpU1577bUsWrSo+HefPn2y1157Fa/JL7zwQgYMGJDnnnsuGzZsyB577JGOHTsW70kqKiqK2+nWrVu6deuW0tLSvP766ykpKcmsWbOy5557ZtasWcX6t/fee+ftt9/O9OnTs2LFihxxxBFZtGhRZsyYkU6dOmXjxo155513svfee2fevHnFMddnn302VVVVGTBgQFasWJFp06YV62fbtm2zZs2aYj+oul2oqKgorqvuC23YsCGLFi0q3p8kf3/2c/z48dl///0zZ86cYtmr+z211Y/9998/q1atSllZWVavXp3u3bvnzTffTNeuXbNx48asW7eueDzatm2bUaNGFfv/s2bNSt++fYvH7o033sjgwYMzadKkrFy5MvXq1UuPHj3y+uuv59BDD82GDRsyZsyYHHDAAamoqEjLli2zcePG7LHHHhkxYkQaNGiQvn37pkWLFhk5cmRxn86aNSudOnXKypUr06ZNm7z88ssZOHBg3nrrrZSXl2fNmjWZNGlSunTpknbt2qVZs2YZM2ZMjjjiiIwYMSJr1qzJwIEDM3HixOyzzz55/fXXc8QRR2TWrFmpX79+sT2bO3duVqxYkfbt22f27Nnp27dvRo0aldLS0rRp0yarVq3KXnvtlZdeeilr167NihUrctBBB2X16tXF9x8ee+yx4rtDb7zxRnr16lVsC/r06ZM5c+ZkwoQJOe644zJ//vzMnTs3CxYsSO/evbNx48b07t07jzzySFq0aJH169fnyCOPzOjRo4vXs7Vr16ZVq1aZP39+6tevn4EDB2bVqlWZOHFievfunbKyskycODFDhgwpvjdXVVWVhg0bFt/z7NmzZ/F+8a233kqfPn0yceLEHHbYYRk9enTatWuX8vLyvPTSS+nUqVPefvvtdOnSJfPmzUunTp2KbUlpaWmmTp2affbZJ2PHjk3//v3zyiuvZODAgVm7dm3Wr1+fHj16ZMGCBenYsWMWLFiQNm3apEGDBpk+fXq6du2aefPmpW3btnn55ZeLdfnggw/Oyy+/nLKyshQKhaxdu7Z4P17dH+jQoUP22GOPLFu2LK1bt84LL7yQJk2apGnTpmnevHlmzZpVbE+mT5+e1q1bp3nz5hk9enS6du2aLl26pFAo5JFHHkmfPn3y9ttvp1GjRqmqqirW3e7du6d58+Z58cUXM3To0IwfPz7NmjXL0qVLU69eveL910svvZRly5alrKwsLVu2zPTp07Pnnntm48aNmTRpUgYOHFjsn23YsCHTpk3LunXr0qJFi7Ru3ToVFRVp2LBhOnfunPbt22fUqFHp27dvcbxh1qxZ6dChQ1atWpV58+ald+/exfvo6mO2ef2YN29eSktLN6kf++67b0pKSjJt2rS0bds2CxcuLPYFN27cmMrKyqxduzb7779/XnnllTRs2DDNmzdP9+7dU1VVlXfeeSctW7Ys1r1Fixalqqoqffv2TZMmTbJ06dK89dZb6datW1q1apUmTZoU25u5c+emoqKi2Ka0adMmvXr1yqJFi/Lqq68Wx6VLS0vzwgsv5KCDDkpFRUXmzJmThg0bpl+/fnn22Wezxx57ZNWqVenRo0c2bNiQ5cuXp7y8PE888UT69OmTDRs2ZM8998zkyZMzZ86c9OvXLxMmTEhlZWUOPPDAjB8/PqWlpVm1alWxrejWrVuS/x07fuuttzJlypSUlJSkqqoqBx54YMaNG5d+/fpl+fLlad26dTp06JAnn3wy+++/fxYvXpz69evnjTfeSOPGjbNx48biPe3zzz+f7t275+23387gwYPTpEmTPPfcc1m9enX69OlTHC9u1apVGjRokGHDhqVJkyYpKytLhw4dimMGVVVVmTlzZlatWpWjjz66WL/nzZtXPD8WLVqUhQsXFscB99xzz+L507Vr1yxcuDAdOnQojsGOHTs269evT2lpafbbb7+89NJLadu2bRo0aJDXX389Rx99dBYuXJh33nknTZo0KfZ933rrreI7+mvWrMnEiROzfv36tGvXLk2bNs26deuKY4WFQqE4hll9Tz148OA0bNgwb7/9dpYvX54VK1akZcuWKRQKxfcaVq5cmdWrV6devXo56qijUllZmQYNGmTatGlp3bp18ZycOXNmFi5cmMrKyvTr1y+jRo1Kv3790r1790yePDlz585Ny5Yts++++6ZevXp5/PHHU15enqZNmxZ/3+Cpp55KkyZN0qZNmyxYsCCVlZU56KCD8sorr2TDhg3p3Llz5s2bl/nz5+ekk07Kiy++mF69eqVly5YZN25cunfvXmzX3nrrrRQKhSxcuDD16tVLr1698thjj6VRo0Zp1qxZFi1alLKysrRu3TotW7ZMWVlZZs6cmZ49eyZJSktLi9eQcePGZcOGDamqqsrgwYOTJBUVFdmwYUMmTZqUli1bZu+9984777yT6dOn59hjj8306dPTqVOnLF++PC1btswzzzyTjRs35uCDD868efPSt2/fbNiwIePHj0/z5s3TuHHjzJ8/P6WlpcXxmPXr16devXrFcbIDDjggc+fOzeTJk1NZWZmjjjqqOCbUtGnTjBgxIl26dEmvXr1SWlqaN954I6WlpZkxY0Y6d+6c+vXrZ+3atenRo0caN26cN954Iz169Mi0adPSqlWrTJw4MWVlZcWxo0KhkI4dO6ZevXoZNWpUVqxYkaqqqvTq1as4XvvSSy8V61m3bt0yd+7crF27Nl26dMmAAQPy2muvFfuq3bt3z/Dhw3PAAQekUaNG2bhxYxYtWpTS0tIsXbo0HTp0yIQJE7JkyZI0bdo0bdq0ScOGDdOjR4/87W9/S0lJSTZu3Jijjz46I0eOzKGHHpp33nknnTp1yvPPP58DDjggy5cvz6uvvlocr+rRo0d69eqVOXPmpEOHDmnQoEEWLVqUVatWZcOGDenZs2dGjx6dpk2bZtmyZVm3bl3WrFmTo48+Oq+88krKy8uLx++AAw5IWVlZZs+enR49emTOnDlp1qxZlixZkkaNGmX27Nnp3bt3Jk6cmMGDB6eioiJTp07NHnvskT333LP4Lsny5ctz4IEHZvTo0TnkkEMybty4dO3aNTNnzixed4cPH57169dn0KBBmT17dg488MC8/vrrxX5Pq1at0q1bt+I+nDVrVvbYY4/MmTMnbdu2LfbD27dvn8WLF2fmzJnp0aNHFi1alGbNmqVDhw554oknMnjw4EyePDnl5eVp27Zt5s6dm0KhkFWrVqVevXrF8ccJEyakZ8+e6datW8aPH59evXpl/Pjx6d+/f9asWZMGDRpk7Nixady4cfbaa680a9Ysb7/9dhYvXpyBAwdm48aNWbp0aZo0aVK8FlePM4wcOTK9evXKmjVrsnDhwjRp0iT9+vVLixYt8te//jUbN27MvvvumylTpmTAgAEZP3589tprr7z22mvZsGFD9t5775SWlmbcuHFp3Lhx+vbtm3HjxqVLly7F8eHqfVcoFDJp0qTibxckSZcuXTJz5sw0adIkGzduTNeuXTN+/Ph06NAhrVu3TseOHYvtyKpVq9K5c+e89NJLGTx4cObNm5cOHTrksccey8CBA/Pmm28Wfyuleox8yZIladiwYY488sgMGzYse+21V3HM6Nhjj828efPSqlWr4v5etmxZxo0bl9atW2fBggXZc889U1FRUbx/O+qoo/Liiy+mT58+mTRpUrF/PmnSpBx55JEpFArFPmffvn2zYsWKtGnTJitXrkyXLl3y9ttvp0mTJlm3bl0WLVqUXr16ZenSpZk4cWKGDh1aHGtYvHhxSktLi32h/fffP6+//vom18ONGzdm+vTpqV+/ftq1a5dVq1alX79+eeWVV7J48eJ07Ngxy5Yty8qVK3PUUUdlypQpWbJkSfr165dmzZrlpZdeSnl5edq0aVMcD3nxxRezxx57pH379pk7d246duyYN998M3Pnzs1ee+2ViRMn5qijjkrDhg3z/PPPZ8mSJTn22GNTv379DB8+PO3atSu2iy1btky3bt2yYMGC7LHHHsV2/KWXXspBBx2UmTNnZsWKFTnkkEPy4IMPpn///sX637Rp08yaNStdunTJunXrMmvWrOI83owZM3L88ccX+9kvvvhi8ZyvvgecPXt21q1blyVLlqRnz56ZMmVKDjnkkMyZMycTJ05MmzZtMmjQoCxatCht2rTJk08+mX79+mXy5Mnp06dPcdxj/vz5mTJlSurXr58OHTpk5syZOeqoo/LWW29l3rx5WbFiRYYMGZLHH388VVVVxXnhQw45pHgeP/300xk0aFA2btyYVatWpVevXhk2bFj22WefjB8/PuvXr8/QoUPTtGnTPPzww8X75KVLl6ZXr17Fejl79uwcccQReeKJJ3LCCSdkypQpady4caZOnZqOHTumT58+efbZZ9O1a9f06tWrWBdfeumlVFVVpUOHDikvLy9eu9966620bdu2eK/4oQ99KMOGDSvOfVXfSz399NM58sgj88wzz6RFixZp0KBBcU7kpJNOytSpU9O2bdusWrUqkyZNytChQzN69Ojib+UsW7asOBb12muvZenSpSkrK0v79u0zYcKE4j3K8OHD07x58zRs2DCtW7dOvXr1UlpamrKysjz33HPp1atXGjRokIYNG6Z9+/ZZt25d3njjjcydOzdHHHFE6tWrVxybmjdvXnE8qHHjxmnQoEEOPPDAVFZW5umnn07jxo2zbt267LfffsU6Xf17PtXjKzNnzszq1atTv3794ljUXnvtVewbjB07Nvvuu2+mTZuW/fbbL6+88kpxvnP8+PEpKSlJvXr1iudNeXl5unfvXuyr1HZ/9Prrr2flypUZNGhQpkyZktLS0uy///6ZNm1a+vbtm/Xr1xfngEtKStK1a9fMnTs3zZs3T2VlZcaNG5dOnTplr732ypo1a/Liiy9m3bp1adWqVZYuXZpjjjkmI0aMSElJSfr27Zv69etn5cqVefvtt9OmTZssXrw4yd+fYTjiiCOybt26NGjQIGPGjCneVzVu3DiNGjUqjqM1btw4o0ePTmlpabp06VJsf8vLy/Paa6+lXr162WeffVJZWZnOnTsXx7Kr5x07duyYpk2bZsqUKRk8eHBefPHFrFixIj169Mhee+2VKVOmZNq0aRkwYEDefPPNFAqF4vzq0UcfnWXLlqWkpCQtWrQojmVNmjQpGzZsSIcOHZIkrVu3zsKFC9O9e/csWLCgeN9TWlqajRs3Zvjw4Rk0aFA2bNiQjRs3Jvn7cyzl5eVp0KBBsZ+wfPnyLF++PKWlpWnQoEHq1auXfffdt9hPrqqqyqBBgzJ69OisW7eu2KZV78eSkpJMmDAhPXr0yPTp07Nhw4Yce+yxmTVrVpKkT58+eeSRR3L88cfn4YcfztChQ7Ny5cq8+eabxfGjRYsWFed8R48eXbwGVz+zMmvWrBx00EHZuHHjJmMSvXr1yqRJk9K0adPiMapfv37x2rx8+fLMmDGjOP7cq1evtGrVKgsXLkzfvn2LffIkxT7fvHnzMnXq1Bx11FEZMWJE8ZmodevWZcCAAamsrMyiRYvSrl271KtXL4sXL86SJUuydu3adOjQofhMR/W8c8uWLYtjDytWrMjixYuzevXqdO7cOStWrEizZs3Sp0+fjBw5Mk2aNEn//v0zYcKE4vKGDRtm5syZxTHiSZMm5eijj06hUEi9evUyevToYh+vR48emTFjRvr27Vucz6yeW27VqlX+9re/pVevXmnUqFHatGmT4cOHZ+DAgWndunXWrl2bCRMmpG3btsW2dNy4cenVq1fKysqycuXKzJkzJxs2bMh+++2XVatWFftBa9asSfPmzdOmTZs0atSoeJ0YNmxYjjrqqMyePTvvvPNO9t9//0ycODEVFRXFfGfOnJkkxTHjNWvWpGXLlsVrXufOnVNZWZmRI0emZ8+ead68eSZPnpy+ffsW+4Bjx45Nt27d0q5du+LcTYMGDdK5c+c89dRTOeKIIzJt2rQsWLAgvXr1ysyZM4t9hrfffjvz5s3LwIEDM3369Lz55ps5/vjjU69evWL+1eN5/fv3T1VVVXGeobp96t69e8aMGZMOHTpkn332ybRp01JeXp5hw4blpJNOyksvvVRsVxYuXJjy8vLi+XHCCSdkzpw5adOmTUaNGlX8PYgBAwakadOmefbZZ3PggQcW79UOOuigvPHGG+nTp08qKiqKc1GlpaUZMGBAVq9enU6dOmXOnDkpFApZs2ZNWrRokYkTJxZ/6+awww4rjou2aNEinTt3zvTp01NRUZEBAwZkzJgxad++fbHfsscee2TlypVp1KhRFixYUBzDnzdvXvbff/888cQTadmyZQ499NCsX7++ONbQvXv3PPvssyktLU3//v2zdOnSlJSUpFWrVpk7d24WLVpUHO/r0qVLKioqin2W6t8Tqn52okuXLnniiSfSqlWrLFmyJP379y8+TzpgwIC0bt06s2fPTpK0aNEiK1asyOuvv57+/ftn1apVxWcEDz/88IwZMyZNmjTJrFmzUlJSkvXr1+dDH/pQnn766TRs2DDdu3fPvHnzUllZmUMPPTTJ33+DauPGjenYsWPxt4lGjRpV3Dddu3bNxIkTs/fee+f1119Po0aNivNiBx10UF5++eW0bds2jRo1ypQpU9KjR49Mnjw5xx57bHEM5J133ileRw455JC88847WbhwYTp27JgVK1ZkwYIFWbx4cU488cQ89dRT6datW5YtW5YlS5bkhBNOyIgRI3LwwQdnxIgRKSsry7Jly4pjV+vWrUvTpk3TtWvXvPXWWzn00EMzbty4Ypvfo0ePjBo1KgMGDMirr76a/fffP2vXri3Oc7z55ptp2rRpNm7cmLlz5+aAAw4ojjksWrQoHTt2LLY9y5YtKz5L1b179+LcyiuvvFKcC3jllVfSsmXLdOjQIT179syMGTMyf/784vho7969U1JSktWrVxf7YM8//3wqKyvTvXv3rF+/vtivmTJlSnr37p3ly5dn2bJlGTRoUF555ZW0b98+9erVS+fOnfPMM8+kvLy8eE3fsGFDSktLk/z996Fmz56dww8/PM8++2zxPK9+PqpHjx7FvlyLFi0yd+7c7LnnnsV52UceeSRNmzZNoVBIu3btis8t9e7dO127ds1f//rXYjnnzp2bevXqZfbs2RkyZEhGjBiRIUOGFO9pFyxYUBw/69u3b7Gdrn7u6Kijjsq6desybty4TfrAM2bMSKtWrYp9uSZNmhS3kyS9evXKU089lUKhkE6dOhXnfqrb33322afYNlf3LTp37lz8rYynn346LVu2zJo1a9K7d++0bdu2+Bzf66+/XmwvKisri+PaZWVlxfH+6vHE6nnl7t27p169esX7qZUrV2bPPffM/PnzM3v27CxfvjydO3fOW2+9lT322CMVFRUZPHhwqqqqMn369Lz99tsZNGhQ8dmv6v5a69at06pVqzRt2jSvvfZaqqqqUr9+/dSrVy8HHXRQxo0bl40bN2bQoEEZNWpUcQ536NChee2114q/PVM9P1R9Tzlu3LhimZcuXZoTTjghr7/+eubOnZvu3bunW7duGTFiRAYPHlx8fqmiomKT8aVx48ZlwYIFOeKII4pjR2PGjMkhhxyShQsXpkGDBpk3b14OPvjgjBw5sjjePGbMmOK8ePXYcvXv5cydOzdt27ZN8+bNkyQPPPBAevbsmTlz5mTo0KF55JFHiteZv/3tb8W5g+o+fbNmzbJgwYKceuqpGT9+fBYsWJCNGzcWrxVHHnlkHnvssTRo0CBt27ZN+/btU1ZWlhdeeCHLly9P9+7di/MDS5YsSf369dO+ffs0bNiw+Bsab731VvF6+8wzz2To0KF55pln0qpVqzRr1ixNmjRJ165d8+KLL2bt2rVp1KhR9t9//yxfvjzJ338fd/Xq1ZkzZ07atWuXefPmpUWLFtljjz2KdWr58uWZOXNmjjjiiLz66qtp3LhxlixZksGDB+ett97KO++8UxxTady4cd588820atUqVVVVady4cZYuXZoBAwYU59zat2+fhx56KEcffXRatGhR7KdW34/Ur18/a9asydtvv5199tkna9euzYwZM9KoUaMceOCBeeGFF3LggQcWxwaWLl2aLl265Omnn86+++6bMWPGpFAoZJ999imOUxx00EHFZ/LGjBmTE044Ic8++2wOO+ywjBw5MiUlJTnssMMyZcqU4vle83rx1ltvZc899yz+dg+716xZs3LLLbekffv2xbEcdp8FCxZk1KhRSVJ89pfdZ+rUqbnvvvsyf/78TJ06dXeH84FXUVGRF154IYsXL3Y8/gFMnz49999/f/FZSHavKVOm5Jl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DGjt2rHp6elRRUWG8z3P8+HElJiYqJydHCxYs0JYtW4y2LyEhQc3NzXJ2djb65i4uLqqvr5eLi4tKS0uVmJio48ePy8nJScHBwQoICFB9fb2Rd+Xl5ZKkmJgYFRcXa86cOTp+/LjGjBkjq9WqhoYGNTc3y2Kx6NSpU0Z/rbq6Wq6ursa6x4aGBvn4+Mhiscjb21unTp3SwoULlZ+fLxcXF/n4+KixsVElJSXG+2BxcXGKjo7WP//5T6WmpqqwsFCtra0aNWqULBaLTCaT0Z5HR0errKxMXV1dGj16tMrLyxUSEiKbzaaKigr5+voqMDBQpaWlioqKUl1dncxms8rKyjR+/Hilp6dr0qRJys7OVkxMjEwmk9HPDgsL0yeffKKkpCRZrVYFBASotbVVkZGRam9v16effioPDw/Fx8dr//79Cg4OVmdnp6KiouTk5KSWlha5uroqPDxcNTU18vX1VXV1tTw9PdXV1aXTp08rICBAxcXFxv0yNjZWRUVFGjt2rNzd3VVcXKzY2Fjt27dPU6dOlclkUmFhoYKDg3XixAm1tbXJy8tL0dHRysjIUFxcnJqbmxUbG6vjx4/Lzc1NLS0tmjhxovz9/dXe3q5t27ZpyZIlxrpff39/TZ48WSUlJUYfUJIOHjwok8kki8WiuLg4ZWRkGOv7p0yZorq6OtlsNsXFxclsNmvHjh2aOXOmamtrZbVadfr0aYWHhysyMlJ5eXmqqqrS9OnTdfr0aZWWliokJMS4l3p7e+vEiRMaPXq0jh49Kk9PTwUFBamqqkrR0dE6cuSIJk2apPDwcB07dky1tbXG36NHj9bYsWONe/KePXuUkpKi3bt3q7u7W6NGjVJYWJjxTFJVVWV8T3R0tKKjo2WxWHTixAmZzWYVFxcrOTlZxcXFRvkbN26cSkpKVFBQoObmZs2ZM0e1tbUqLCxUeHi4enp6VFZWpnHjxqmiosIYc922bZtsNptSUlLU3Nys/Px8o3wGBQWpvb3d6AfZ24Wqqipjn70v1N3drdraWuP5RDqz9jMzM1OTJ09WaWmpkXZ7v8dR+Zg8ebJaW1vl5+entrY2xcTE6OTJk4qKilJPT486OzuN6xEUFKS9e/ca/f/i4mIlJSUZ1y4nJ0czZ85Udna2Wlpa5OTkpLi4OJ04cUKzZs1Sd3e30tPTNXXqVFVVVcnX11c9PT0aNWqUdu7cKRcXFyUlJcnHx0e7du0y8rS4uFjh4eFqaWlRYGCgDh48qNTUVJ0+fVqxsbFqb29Xdna2IiMjFRwcLC8vL6Wnp2vOnDnauXOn2tvblZqaqqysLI0fP14nTpzQnDlzVFxcLGdnZ6M9Ky8vV3Nzs0JCQnTq1CklJSVp7969slgsCgwMVGtrq8aOHasDBw6oo6NDzc3NmjZtmtra2oz3H9avX2+8O5STk6OEhASjLRg9erRKS0t15MgRLVmyRJWVlSovL1d1dbUSExPV09OjxMREffzxx/Lx8VFXV5fmzp2rffv2Gfezjo4O+fv7q7KyUs7OzkpNTVVra6uysrKUmJgoPz8/ZWVlacGCBcZ7czabTa6ursZ7nvHx8cbz4unTpzV69GhlZWVp9uzZ2rdvn4KDgxUbG6sDBw4oPDxcJSUlioyMVEVFhcLDw422xGKxKC8vT+PHj9fhw4c1adIkHTp0SKmpqero6FBXV5fi4uJUXV2tsLAwVVdXKzAwUC4uLiooKFBUVJQqKioUFBSkgwcPGmV5+vTpOnjwoPz8/GQymdTR0WE8j9v7A6GhoRo1apQaGxsVEBCgPXv2yMPDQ56envL29lZxcbHRnhQUFCggIEDe3t7at2+foqKiFBkZKZPJpI8//lijR49WSUmJ3NzcZLPZjLIbExMjb29v7d+/X4sWLVJmZqa8vLzU0NAgJycn4/nrwIEDamxslJ+fn3x9fVVQUKDk5GT19PQoOztbqampRv+su7tb+fn56uzslI+PjwICAlRVVSVXV1dFREQoJCREe/fuVVJSkjHeUFxcrNDQULW2tqqiokKJiYnGc7T9mg0sHxUVFbJYLP3Kx4QJE2Q2m5Wfn6+goCDV1NQYfcGenh5ZrVZ1dHRo8uTJOnTokFxdXeXt7a2YmBjZbDaVlZXJ19fXKHu1tbWy2WxKSkqSh4eHGhoadPr0aUVHR8vf318eHh5Ge1NeXq6qqiqjTQkMDFRCQoJqa2t19OhRY1zaYrFoz549mjZtmqqqqlRaWipXV1eNGTNG27Zt06hRo9Ta2qq4uDh1d3erqalJsbGx2rhxo0aPHq3u7m4lJyfr+PHjKi0t1ZgxY3TkyBFZrValpaUpMzNTFotFra2tRlsRHR0t6V9jx6dPn1Zubq7MZrNsNpvS0tKUkZGhMWPGqKmpSQEBAQoNDdUnn3yiyZMnq66uTs7OzsrJyZG7u7t6enqMZ9pPP/1UMTExKikp0cyZM+Xh4aHdu3erra1No0ePNsaL/f395eLioq1bt8rDw0N+fn4KDQ01xgxsNpuKiorU2tqq+fPnG+W7oqLCqB+1tbWqqakxxgGTk5ON+hMVFaWamhqFhoYaY7CHDx9WV1eXLBaLJk6cqAMHDigoKEguLi46ceKE5s+fr5qaGpWVlcnDw8Po+54+fdp4R7+9vV1ZWVnq6upScHCwPD091dnZaYwVmkwmYwzT/kw9c+ZMubq6qqSkRE1NTWpubpavr69MJpPxXkNLS4va2trk5OSkefPmyWq1ysXFRfn5+QoICDDqZFFRkWpqamS1WjVmzBjt3btXY8aMUUxMjI4fP67y8nL5+vpqwoQJcnJy0oYNGxQbGytPT0/j9w02bdokDw8PBQYGqrq6WlarVdOmTdOhQ4fU3d2tiIgIVVRUqLKyUitWrND+/fuVkJAgX19fZWRkKCYmxmjXTp8+LZPJpJqaGjk5OSkhIUHr16+Xm5ubvLy8VFtbKz8/PwUEBMjX11d+fn4qKipSfHy8JMlisRj3kIyMDHV3d8tms2nmzJmSpKqqKnV3dys7O1u+vr4aN26cysrKVFBQoMWLF6ugoEDh4eFqamqSr6+vtmzZop6eHk2fPl0VFRVKSkpSd3e3MjMz5e3tLXd3d1VWVspisRjjMV1dXXJycjLGyaZOnary8nIdP35cVqtV8+bNM8aEPD09tXPnTkVGRiohIUEWi0U5OTmyWCwqLCxURESEnJ2d1dHRobi4OLm7uysnJ0dxcXHKz8+Xv7+/srKy5OfnZ4wdmUwmhYWFycnJSXv37lVzc7NsNpsSEhKM8doDBw4Y5Sw6Olrl5eXq6OhQZGSkUlJSdOzYMaOvGhMTox07dmjq1Klyc3NTT0+PamtrZbFY1NDQoNDQUB05ckT19fXy9PRUYGCgXF1dFRcXp+3bt8tsNqunp0fz58/Xrl27NGvWLJWVlSk8PFyffvqppk6dqqamJh09etQYr4qLi1NCQoJKS0sVGhoqFxcX1dbWqrW1Vd3d3YqPj9e+ffvk6empxsZGdXZ2qr29XfPnz9ehQ4cUGxtrXL+pU6fKz89Pp06dUlxcnEpLS+Xl5aX6+nq5ubnp1KlTSkxMVFZWlmbOnKmqqirl5eVp1KhRSk5ONt4laWpqUlpamvbt26cZM2YoIyNDUVFRKioqMu67O3bsUFdXl6ZMmaJTp04pLS1NJ06cMPo9/v7+io6ONvKwuLhYo0aNUmlpqYKCgox+eEhIiOrq6lRUVKS4uDjV1tbKy8tLoaGh2rhxo2bOnKnjx48rNjZWQUFBKi8vl8lkUmtrq5ycnIzxxyNHjig+Pl7R0dHKzMxUQkKCMjMzNWnSJLW3t8vFxUWHDx+Wu7u7xo4dKy8vL5WUlKiurk6pqanq6elRQ0ODPDw8jHuxfZxh165dSkhIUHt7u2pqauTh4aExY8bIx8dH//znP9XT06MJEyYoNzdXKSkpyszM1NixY3Xs2DF1d3dr3LhxslgsysjIkLu7u5KSkpSRkaHIyEhjfNiedyaTSdnZ2cZvF0hSZGSkioqK5OHhoZ6eHkVFRSkzM1OhoaEKCAhQWFiY0Y60trYqIiJCBw4c0MyZM1VRUaHQ0FCtX79eqampOnnypPFbKfYx8vr6erm6umru3LnaunWrxo4da4wZLV68WBUVFfL39zfyu7GxURkZGQoICFB1dbWSk5NVVVVlPL/NmzdP+/fv1+jRo5WdnW30z7OzszV37lyZTCajz5mUlKTm5mYFBgaqpaVFkZGRKikpkYeHhzo7O1VbW6uEhAQ1NDQoKytLixYtMsYa6urqZLFYjL7Q5MmTdeLEiX73w56eHhUUFMjZ2VnBwcFqbW3VmDFjdOjQIdXV1SksLEyNjY1qaWnRvHnzlJubq/r6eo0ZM0ZeXl46cOCAYmNjFRgYaIyH7N+/X6NGjVJISIjKy8sVFhamkydPqry8XGPHjlVWVpbmzZsnV1dXffrpp6qvr9fixYvl7OysHTt2KDg42GgXfX19FR0drerqao0aNcpoxw8cOKBp06apqKhIzc3NmjFjhtauXatJkyYZ5d/T01PFxcWKjIxUZ2eniouLjXm8wsJCLV261Ohn79+/36jz9mfAU6dOqbOzU/X19YqPj1dubq5mzJih0tJSZWVlKTAwUFOmTFFtba0CAwP1ySefaMyYMTp+/LhGjx5tjHtUVlYqNzdXzs7OCg0NVVFRkebNm6fTp0+roqJCzc3NWrBggTZs2CCbzWbMC8+YMcOox5s3b9aUKVPU09Oj1tZWJSQkaOvWrRo/frwyMzPV1dWlRYsWydPTUx999JHxnNzQ0KCEhASjXJ46dUpz5szRxo0btWzZMuXm5srd3V15eXkKCwvT6NGjtW3bNkVFRSkhIcEoiwcOHJDNZlNoaKhiY2ONe/fp06cVFBRkPCtedtll2rp1qzH3ZX+W2rx5s+bOnastW7bIx8dHLi4uxpzIihUrlJeXp6CgILW2tio7O1uLFi3Svn37jN/KaWxsNMaijh07poaGBvn5+SkkJERHjhwxnlF27Nghb29vubq6KiAgQE5OTrJYLPLz89Pu3buVkJAgFxcXubq6KiQkRJ2dncrJyVF5ebnmzJkjJycnY2yqoqLCGA9yd3eXi4uL0tLSZLVatXnzZrm7u6uzs1MTJ040yrT993zs4ytFRUVqa2uTs7OzMRY1duxYo29w+PBhTZgwQfn5+Zo4caIOHTpkzHdmZmbKbDbLycnJqDexsbGKiYkx+iqOno9OnDihlpYWTZkyRbm5ubJYLJo8ebLy8/OVlJSkrq4uYw7YbDYrKipK5eXl8vb2ltVqVUZGhsLDwzV27Fi1t7dr//796uzslL+/vxoaGrRw4ULt3LlTZrNZSUlJcnZ2VktLi0pKShQYGKi6ujpJZ9YwzJkzR52dnXJxcVF6errxXOXu7i43NzdjHM3d3V379u2TxWJRZGSk0f7Gxsbq2LFjcnJy0vjx42W1WhUREWGMZdvnHcPCwuTp6anc3FzNnDlT+/fvV3Nzs+Li4jR27Fjl5uYqPz9fKSkpOnnypEwmkzG/On/+fDU2NspsNsvHx8cYy8rOzlZ3d7dCQ0MlSQEBAaqpqVFMTIyqq6uN5x6LxaKenh7t2LFDU6ZMUXd3t3p6eiSdWccSGxsrFxcXo5/Q1NSkpqYmWSwWubi4yMnJSRMmTDD6yTabTVOmTNG+ffvU2dlptGn2fDSbzTpy5Iji4uJUUFCg7u5uLV68WMXFxZKk0aNH6+OPP9bSpUv10UcfadGiRWppadHJkyeN8aPa2lpjznffvn3GPdi+ZqW4uFjTpk1TT09PvzGJhIQEZWdny9PT07hGzs7Oxr25qalJhYWFxvhzQkKC/P39VVNTo6SkJKNPLsno81VUVCgvL0/z5s3Tzp07jTVRnZ2dSklJkdVqVW1trYKDg+Xk5KS6ujrV19ero6NDoaGhxpoO+7yzr6+vMfbQ3Nysuro6tbW1KSIiQs3NzfLy8tLo0aO1a9cueXh4aNKkSTpy5Iix3dXVVUVFRcYYcXZ2tubPny+TySQnJyft27fP6OPFxcWpsLBQSUlJxnymfW7Z399f27dvV0JCgtzc3BQYGKgdO3YoNTVVAQEB6ujo0JEjRxQUFGS0pRkZGUpISJCfn59aWlpUWlqq7u5uTZw4Ua2trUY/qL29Xd7e3goMDJSbm5txn9i6davmzZunU6dOqaysTJMnT1ZWVpaqqqqMcIuKiiTJGDNub2+Xr6+vcc+LiIiQ1WrVrl27FB8fL29vbx0/flxJSUlGH/Dw4cOKjo5WcHCwMXfj4uKiiIgIbdq0SXPmzFF+fr6qq6uVkJCgoqIio89QUlKiiooKpaamqqCgQCdPntTSpUvl5ORkhG8fz5s0aZJsNpsxz2Bvn2JiYpSenq7Q0FCNHz9e+fn5io2N1datW7VixQodOHDAaFdqamoUGxtr1I9ly5aptLRUgYGB2rt3r/F7ECkpKfL09NS2bduUlpZmPKtNmzZNOTk5Gj16tKqqqoy5KIvFopSUFLW1tSk8PFylpaUymUxqb2+Xj4+PsrKyjN+6mT17tjEu6uPjo4iICBUUFKiqqkopKSlKT09XSEiI0W8ZNWqUWlpa5ObmpurqamMMv6KiQpMnT9bGjRvl6+urWbNmqauryxhriImJ0bZt22SxWDRp0iQ1NDTIbDbL399f5eXlqq2tNcb7IiMjVVVVZfRZ7L8nZF87ERkZqY0bN8rf31/19fWaNGmSsZ40JSVFAQEBOnXqlCTJx8dHzc3NOnHihCZNmqTW1lZjjeAll1yi9PR0eXh4qLi4WGazWV1dXbrsssu0efNmubq6KiYmRhUVFbJarZo1a5akM79B1dPTo7CwMOO3ifbu3WvkTVRUlLKysjRu3DidOHFCbm5uxrzYtGnTdPDgQQUFBcnNzU25ubmKi4vT8ePHtXjxYmMMpKyszLiPzJgxQ2VlZaqpqVFYWJiam5tVXV2turo6LV++XJs2bVJ0dLQaGxtVX1+vZcuWaefOnZo+fbp27twpPz8/NTY2GmNXnZ2d8vT0VFRUlE6fPq1Zs2YpIyPDaPPj4uK0d+9epaSk6OjRo5o8ebI6OjqMeY6TJ0/K09NTPT09Ki8v19SpU40xh9raWoWFhRltT2Njo7GWKiYmxphbOXTokDEXcOjQIfn6+io0NFTx8fEqLCxUZWWlMT6amJgos9mstrY2ow/26aefymq1KiYmRl1dXUa/Jjc3V4mJiWpqalJjY6OmTJmiQ4cOKSQkRE5OToqIiNCWLVsUGxtr3NO7u7tlsVgknfl9qFOnTumSSy7Rtm3bjHpuXx8VFxdn9OV8fHxUXl6u5ORkY172448/lqenp0wmk4KDg411S4mJiYqKitI///lPI53l5eVycnLSqVOntGDBAu3cuVMLFiwwnmmrq6uN8bOkpCSjnbavO5o3b546OzuVkZHRrw9cWFgof39/oy/n4eFhfI8kJSQkaNOmTTKZTAoPDzfmfuzt7/jx44222d63iIiIMH4rY/PmzfL19VV7e7sSExMVFBRkrOM7ceKE0V5YrVZjXNvPz88Y77ePJ9rnlWNiYuTk5GQ8T7W0tCg5OVmVlZU6deqUmpqaFBERodOnT2vUqFGqqqrSzJkzZbPZVFBQoJKSEk2ZMsVY+2XvrwUEBMjf31+enp46duyYbDabnJ2d5eTkpGnTpikjI0M9PT2aMmWK9u7da8zhLlq0SMeOHTN+e8Y+P2R/pszIyDDS3NDQoGXLlunEiRMqLy9XTEyMoqOjtXPnTs2cOdNYv1RVVdVvfCkjI0PV1dWaM2eOMXaUnp6uGTNmqKamRi4uLqqoqND06dO1a9cuY7w5PT3dmBe3jy3bfy+nvLxcQUFB8vb2liStWbNG8fHxKi0t1aJFi/Txxx8b95nt27cbcwf2Pr2Xl5eqq6t15ZVXKjMzU9XV1erp6THuFXPnztX69evl4uKioKAghYSEyM/PT3v27FFTU5NiYmKM+YH6+no5OzsrJCRErq6uxm9onD592rjfbtmyRYsWLdKWLVvk7+8vLy8veXh4KCoqSvv371dHR4fc3Nw0efJkNTU1STrz+7htbW0qLS1VcHCwKioq5OPjo1GjRhllqqmpSUVFRZozZ46OHj0qd3d31dfXa+bMmTp9+rTKysqMMRV3d3edPHlS/v7+stlscnd3V0NDg1JSUow5t5CQEH3wwQeaP3++fHx8jH6q/XnE2dlZ7e3tKikp0fjx49XR0aHCwkK5ubkpLS1Ne/bsUVpamjE20NDQoMjISG3evFkTJkxQenq6TCaTxo8fb4xTTJs2zViTl56ermXLlmnbtm2aPXu2du3aJbPZrNmzZys3N9eo733vF6dPn1ZycrJaW1u1ceNGjR8/XqGhoca8u7e3t5ydndXW1qYTJ07IZDJp3LhxOn36tEJDQ425f/vcTF1dnbEWZ8KECXJ2dpaHh4dKSkqUk5OjcePGKTMzU0lJScacuslk0oQJE1RUVCSTyWTM51ZXVxtrcuzlKzk5Wf7+/tqyZYsx32j/HVfpzG+EpqamGuNRUVFRCgoK0v79+5WWlqbjx48rLi5ObW1txnrXjIwMhYWFGc/0np6ecnJyMtp8+zxvbGysjh49qrCwME2YMEFWq1VWq1UlJSX9+p8tLS39xn/c3d1ls9kUHR1tjCkUFhZqxowZKioqUnd3txISErR582ZjvULfNRD2tYYtLS2aNWuWKioqVFhYqOnTp2vbtm2Kjo5WXV2dZsyYoerqah07dkzjxo3T/v37NWHCBI0aNUqffPKJPD09lZiYaDznRkREqLq6WkePHjXWA7W2tio1NVV+fn6yWCzatm2bFi5cqAMHDhi/GSZJrq6u2rdvnxobGzV+/Hij32FvL/vmZ1hYmLq7u+Xk5KSioiKj/YiOjlZxcbHS0tJUWlpqzAHb11kcPXpUCxcuVHd3t7Zv326M5fj4+Gj+/Plqbm5Wenq65s+fb/TVg4KCZLPZ5OTkpNDQUGPOYcuWLXJycpJ05rfhDh48qIaGBiUmJhrPPPbnpsjISNXW1qqlpUVLlixRe3u7sWZj2bJlslqt2rlzp1pbWzV16lSlp6fL19dXU6dOlaurq/Ess2vXLiUnJ6uoqEijRo0y1kO1tLSopaVF06dPN/ItPj7e6H/Y5/jGjh1rrF+vrKw0+gunTp1SamqqtmzZovj4eAUGBurEiROaOXOmUV5nz56tgwcPGnNY9jVYQUFBqq6uloeHhzHW4urqquDgYPn6+srHx0c7d+5UaGioQkNDVVNTo66uLuOdAHvfsqurS7GxsSopKVFISIh2795tjA2kpqZqx44dcnV1VVhYmEJDQ9Xe3q6AgABjXOXkyZPG2uTTp08rLCzMmNewrwX59NNPjXmqo0ePytvbW6GhoTKbzaqsrFRgYKDxXoEkdXV1qaury5jDtY/dVVdXG+NtHh4e8vb2lpeXlzZv3qy0tDRlZWXJx8fHGGsMDw/XyZMnlZ+fLz8/P0VERBj3ypycHE2aNEk7d+5UamqqvLy8VFFRIWdnZ2VlZWn58uXq7OxUfn6+MW4eFhamY8eOqbi4WD4+PkpMTFRHR4eKi4uNtXezZ8821ve5ubkZddTeBzWbzRo9erTMZrMxBmGfmx47dqx27dqlkJAQFRcXG2W/srJSMTExamlpUVxcnLZs2aLk5GT5+vqqsbFR5eXlmj9/vtasWaPY2Fj5+/srJCREVqtVBw4cUGRkpPG73/X19XJyctLcuXN18uRJI7ylS5eqo6NDdXV1xtqDnJwc+fj4GP04e7kPDAzU1q1bZbFYtGjRIuXl5amystKYRzeZTDp06JA6Ozu1YMECmUwm7d27V7NnzzaeNdva2iRJc+bMUVFRkWJiYnTkyBGjLtvX40RERMjV1VUHDhww3rGZPHmy8XuENTU1xpzO2LFjdfjwYY0fP14RERGSpA0bNmjcuHFGWZHOvPPU1NQkNzc3FRQUGGvFRo0aZYzZ29/DOHDggFH2t2/fLpvNppiYGMXHxxvzZaGhoSo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35+TJk5k5c2buvffeTJo0qUh38ODBtLS0ZPDgwcX10KVLl/Tu3buIX2hsbEypVEp7e3u6deuW+vr6NDY2pra2Nq2trcU1cvTo0Rw5ciRlZWUplUpFW7Nz584cOnSomMeeNm1aNm/enEGDBuXEiRPZtGlTOjs7c8011+TBBx/MJZdckieffDLDhw9PbW1tMZ957NixlJWV5cILL8zGjRszceLEHDlyJMuWLUt5eXlqa2vT3Nyc6dOnZ/Pmzdm7d2/69euXs846Kx0dHZk7d26GDBmSCRMmZMGCBTlx4kQuvvjilJWVZf78+Tn77LOL+NIhQ4aksrIyJ0+ezNatW9PR0ZFRo0alsbEx55xzTg4fPpwePXoU/z733HNpaGjI3r17U19fn/b29vTu3TubNm3KyZMnM3z48OJ56vS/K1euzFVXXZWFCxemrq4uXbp0yaFDhzJixIgX5L9r166MGjUqFRUV2bBhQ3r37l20kz9bhv+cds2aNenXr1/69+//orQVFRVZsWJFxowZk8rKynR2dqatre0FaZqbm9O3b99UVlamqakpffr0SVlZ2cumra+vT1lZWXGNHDx4MB0dHS/a9s+m3b17d84666xs2bLlRfvSu3fvbNmyJcOHD8/69eszYMCAjBo1Kps2bSrS1NTUpLW1Nc3NzenVq1f69++fdevWvWzatra27NmzJ7169Up1dXV27dqV/v37v2jb/znt4cOHc/z48QwaNOgFaY8cOZLu3bsX96bBgwe/bB326dMnffv2zebNm9W3+v611/eSJUsyYcKEdHR0pKmpqXifZ82aNRkzZkzWrVuXyy67LHPmzCnavtGjR+fIkSPp0qVL0Tfv2rVrDh48mK5du2bnzp0ZM2ZM1qxZk4qKivTv3z99+vTJwYMHi2O3e/fuJMmIESPS2NiYWbNmZc2aNTnrrLPS2dmZQ4cO5ciRI6msrMy2bduK/trevXtTVVVVxD0eOnQodXV1qaysTI8ePbJt27Zcfvnl2bhxY7p27Zq6urq0tLRkx44dxftgI0eOzPDhw/OTn/wkU6ZMyZYtW9LW1paBAwemsrIyZWVlRXs+fPjw7Nq1K+3t7Rk7dmx2796dAQMGpFQqpampKT179kzfvn2zc+fODBs2LAcOHEh5eXl27dqVc845J4sXL86kSZOyatWqjBgxImVlZUU/e9CgQfnpT3+acePGpbOzM3369ElbW1uGDh2aY8eO5amnnkr37t0zatSoPPPMM+nfv39OnDiRYcOGpaKiIq2tramqqsrgwYOzb9++9OzZM3v37k1NTU3a29uzffv29OnTJ42NjcX9sqGhIVu3bs2ECRNSXV2dxsbGNDQ0ZOHChTnvvPNSVlaWLVu2pH///lm7dm2OHj2a2traDB8+PMuWLcvIkSNz5MiRNDQ0ZM2aNenWrVtaW1tz7rnnpnfv3jl27FjmzZuXq666qoj77d27d6ZOnZodO3YUfcAkefbZZ1NWVpbKysqMHDkyy5YtK+L7p02blgMHDqRUKmXkyJEpLy/P448/nhkzZmT//v3p7OzM9u3bM3jw4AwdOjQbNmxIc3NzLrjggmzfvj07d+7MgAEDintpjx49snbt2owdOzbPPfdcampq0q9fvzQ3N2f48OFZsWJFJk2alMGDB2f16tXZv39/8b/Hjh2bCRMmFPfkp59+OpMnT86TTz6ZkydPZuDAgRk0aFDxTNLc3FxsZ/jw4Rk+fHgqKyuzdu3alJeXp7GxMePHj09jY2Nx/p199tnZsWNHNm/enCNHjmTWrFnZv39/tmzZksGDB6ejoyO7du3K2WefnaampmLMdd68eSmVSpk8eXKOHDmSjRs3Fudnv379cuzYsaIfdLpdaG5uLtad7gudPHky+/fvL55PkudjP5cvX56pU6dm586dxb6f7ve81PkxderUtLW1pVevXjl69GhGjBiRTZs2ZdiwYeno6MiJEyeK+ujXr18WLFhQ9P8bGxszbty4ou7WrVuXGTNmZNWqVWltbU1FRUVGjhyZtWvX5qKLLsrJkyezePHinHfeeWlubk7Pnj3T0dGRgQMHZv78+enatWvGjRuXurq6PPHEE8UxbWxszODBg9Pa2pq+ffvm2WefzZQpU7J9+/Y0NDTk2LFjWbVqVYYOHZr+/funtrY2ixcvzqxZszJ//vwcO3YsU6ZMycqVK3POOedk7dq1mTVrVhobG9OlS5eiPdu9e3eOHDmSAQMGZNu2bRk3blwWLFiQysrK9O3bN21tbZkwYUIWLVqU48eP58iRIzn//PNz9OjR4v2HBx98sHh3aN26dRk9enTRFowdOzY7d+7MihUrctVVV2XPnj3ZvXt39u7dmzFjxqSjoyNjxozJ/fffn7q6urS3t+eSSy7JwoULi/vZ8ePH07t37+zZsyddunTJlClT0tbWlpUrV2bMmDHp1atXVq5cmcsuu6x4b65UKqWqqqp4z3PUqFHF8+L27dszduzYrFy5MjNnzszChQvTv3//NDQ0ZNGiRRk8eHB27NiRoUOHpqmpKYMHDy7aksrKymzYsCHnnHNOli5dmkmTJmXJkiWZMmVKjh8/nvb29owcOTJ79+7NoEGDsnfv3vTt2zddu3bN5s2bM2zYsDQ1NaVfv3559tlni3P5ggsuyLPPPptevXqlrKwsx48fL57HT/cH6uvrM3DgwLS0tKRPnz55+umn071799TU1KRHjx5pbGws2pPNmzenT58+6dGjRxYuXJhhw4Zl6NChKSsry/3335+xY8dmx44d6datW0qlUnHujhgxIj169MgzzzyTK664IsuXL09tbW0OHTqUioqK4vlr0aJFaWlpSa9evdKzZ89s3rw548ePT0dHR1atWpUpU6YU/bOTJ09m48aNOXHiROrq6tKnT580NzenqqoqQ4YMyYABA7JgwYKMGzeuGG9obGxMfX192tra0tTUlDFjxhTP0afr7D+fH01NTamsrHzB+TFx4sSUl5dn48aN6devX/bt21f0BTs6OtLZ2Znjx49n6tSpWbJkSaqqqtKjR4+MGDEipVIpu3btSs+ePYtzb//+/SmVShk3bly6d++eQ4cOZfv27Rk+fHh69+6d7t27F+3N7t2709zcXLQpffv2zejRo7N///4899xzxbh0ZWVlnn766Zx//vlpbm7Ozp07U1VVlbPOOivz5s3LwIED09bWlpEjR+bkyZM5fPhwGhoa8vDDD2fs2LE5efJkxo8fnzVr1mTnzp0566yzsmLFinR2dmb69OlZvnx5Kisr09bWVrQVw4cPT/L/jR1v374969evT3l5eUqlUqZPn55ly5blrLPOyuHDh9OnT5/U19fnpz/9aaZOnZoDBw6kS5cuWbduXaqrq9PR0VE80z711FMZMWJEduzYkRkzZqR79+558sknc/To0YwdO7YYL+7du3e6du2auXPnpnv37unVq1fq6+uLMYNSqZStW7emra0ts2fPLs7vpqam4vrYv39/9u3bV4wDjh8/vrh+hg0bln379qW+vr4Yg126dGna29tTWVmZc889N4sWLUq/fv3StWvXrF27NrNnz86+ffuya9eudO/evej7bt++vXhH/9ixY1m5cmXa29vTv3//1NTU5MSJE8VYYVlZWTGGefqZesaMGamqqsqOHTty+PDhHDlyJD179kxZWVnxXkNra2uOHj2aioqKXHrppens7EzXrl2zcePG9OnTp7gmt27dmn379qWzszNnnXVWFixYkLPOOisjRozImjVrsnv37vTs2TMTJ05MRUVFHnrooTQ0NKSmpqb4vsEjjzyS7t27p2/fvtm7d286Oztz/vnnZ8mSJTl58mSGDBmSpqam7NmzJ9ddd12eeeaZjB49Oj179syyZcsyYsSIol3bvn17ysrKsm/fvlRUVGT06NF58MEH061bt9TW1mb//v3p1atX+vTpk549e6ZXr17ZunVrRo0alSSprKws7iHLli3LyZMnUyqVMmPGjCRJc3NzTp48mVWrVqVnz545++yzs2vXrmzevDlXXnllNm/enMGDB+fw4cPp2bNn5syZk46OjlxwwQVpamrKuHHjcvLkySxfvjw9evRIdXV19uzZk8rKymI8pr29PRUVFcU42XnnnZfdu3dnzZo16ezszKWXXlqMCdXU1GT+/PkZOnRoRo8encrKyqxbty6VlZXZsmVLhgwZki5duuT48eMZOXJkqqurs27duowcOTIbN25M7969s3LlyvTq1asYOyorK8ugQYNSUVGRBQsW5MiRIymVShk9enQxXrto0aLiPBs+fHh2796d48ePZ+jQoZk8eXJWr15d9FVHjBiRxx9/POedd166deuWjo6O7N+/P5WVlTl06FDq6+uzYsWKHDx4MDU1Nenbt2+qqqoycuTIPPbYYykvL09HR0dmz56dJ554IhdddFF27dqVwYMH56mnnsp5552Xw4cP57nnnivGq0aOHJnRo0dn586dqa+vT9euXbN///60tbXl5MmTGTVqVBYuXJiampq0tLTkxIkTOXbsWGbPnp0lS5akoaGhqL/zzjsvvXr1yrZt2zJy5Mjs3LkztbW1OXjwYLp165Zt27ZlzJgxWblyZWbMmJHm5uZs2LAhAwcOzPjx44t3SQ4fPpzp06dn4cKFufDCC7Ns2bIMGzYsW7duLe67jz/+eNrb2zNt2rRs27Yt06dPz9q1a4t+T+/evTN8+PDiGDY2NmbgwIHZuXNn+vXrV/TDBwwYkAMHDmTr1q0ZOXJk9u/fn9ra2tTX1+fhhx/OjBkzsmbNmjQ0NKRfv37ZvXt3ysrK0tbWloqKimL8ccWKFRk1alSGDx+e5cuXZ/To0Vm+fHkmTZqUY8eOpWvXrlm6dGmqq6szYcKE1NbWZseOHTlw4ECmTJmSjo6OHDp0KN27dy/uxafHGZ544omMHj06x44dy759+9K9e/ecddZZqaury09+8pN0dHRk4sSJWb9+fSZPnpzly5dnwoQJWb16dU6ePJmzzz47lZWVWbZsWaqrqzNu3LgsW7YsQ4cOLcaHTx+7srKyrFq1qvh2QZIMHTo0W7duTffu3dPR0ZFhw4Zl+fLlqa+vT58+fTJo0KCiHWlra8uQIUOyaNGizJgxI01NTamvr8+DDz6YKVOmZNOmTcW3Uk6PkR88eDBVVVW55JJLMnfu3EyYMKEYM7ryyivT1NSU3r17F8e7paUly5YtS58+fbJ3796MHz8+zc3NxfPbpZdemmeeeSZjx47NqlWriv75qlWrcskll6SsrKzoc44bNy5HjhxJ375909ramqFDh2bHjh3p3r17Tpw4kf3792f06NE5dOhQVq5cmSuuuKIYazhw4EAqKyuLvtDUqVOzdu3aF9wPOzo6snnz5nTp0iX9+/dPW1tbzjrrrCxZsiQHDhzIoEGD0tLSktbW1lx66aVZv359Dh48mLPOOiu1tbVZtGhRGhoa0rdv32I85JlnnsnAgQMzYMCA7N69O4MGDcqmTZuye/fuTJgwIStXrsyll16aqqqqPPXUUzl48GCuvPLKdOnSJY8//nj69+9ftIs9e/bM8OHDs3fv3gwcOLBoxxctWpTzzz8/W7duzZEjR3LhhRfmnnvuyaRJk4rzv6amJo2NjRk6dGhOnDiRxsbGYh5vy5Ytufrqq4t+9jPPPFNc86efAbdt25YTJ07k4MGDGTVqVNavX58LL7wwO3fuzMqVK9O3b99MmzYt+/fvT9++ffPTn/40Z511VtasWZOxY8cW4x579uzJ+vXr06VLl9TX12fr1q259NJLs3379jQ1NeXIkSO57LLL8tBDD6VUKhXzwhdeeGFxHT/66KOZNm1aOjo60tbWltGjR2fu3Lk555xzsnz58rS3t+eKK65ITU1N7rvvvuI5+dChQxk9enRxXm7bti2zZs3Kww8/nGuuuSbr169PdXV1NmzYkEGDBmXs2LGZN29ehg0bltGjRxfn4qJFi1IqlVJfX5+Ghobi3r19+/b069eveFZ83etel7lz5xZzX6efpR599NFccsklmTNnTurq6tK1a9diTuS6667Lhg0b0q9fv7S1tWXVqlW54oorsnDhwuJbOS0tLcVY1OrVq3Po0KH06tUrAwYMyIoVK4pnlMcffzw9evRIVVVV+vTpk4qKilRWVqZXr1558sknM3r06HTt2jVVVVUZMGBATpw4kXXr1mX37t2ZNWtWKioqirGppqamYjyouro6Xbt2zfTp09PZ2ZlHH3001dXVOXHiRM4999zinD79PZ/T4ytbt27N0aNH06VLl2IsasKECUXfYOnSpZk4cWI2btyYc889N0uWLCnmO5cvX57y8vJUVFQU101DQ0NGjBhR9FVe6vlo7dq1aW1tzbRp07J+/fpUVlZm6tSp2bhxY8aNG5f29vZiDri8vDzDhg3L7t2706NHj3R2dmbZsmUZPHhwJkyYkGPHjuWZZ57JiRMn0rt37xw6dCiXX3555s+fn/Ly8owbNy5dunRJa2trduzYkb59++bAgQNJno9hmDVrVk6cOJGuXbtm8eLFxXNVdXV1unXrVoyjVVdXZ+HChamsrMzQoUOL9rehoSGrV69ORUVFzjnnnHR2dmbIkCHFWPbpecdBgwalpqYm69evz4wZM/LMM8/kyJEjGTlyZCZMmJD169dn48aNmTx5cjZt2pSysrJifnX27NlpaWlJeXl56urqirGsVatW5eTJk6mvr0+S9OnTJ/v27cuIESOyd+/e4rmnsrIyHR0defzxxzNt2rScPHkyHR0dSZ6PY2loaEjXrl2LfsLhw4dz+PDhVFZWpmvXrqmoqMjEiROLfnKpVMq0adOycOHCnDhxomjTTh/H8vLyrFixIiNHjszmzZtz8uTJXHnllWlsbEySjB07Nvfff3+uvvrq3HfffbniiivS2tqaTZs2FeNH+/fvL+Z8Fy5cWNyDT8esNDY25vzzz09HR8cLxiRGjx6dVatWpaampqijLl26FPfmw4cPZ8uWLcX48+jRo9O7d+/s27cv48aNK/rkSYo+X1NTUzZs2JBLL7008+fPL2KiTpw4kcmTJ6ezszP79+9P//79U1FRkQMHDuTgwYM5fvx46uvri5iO0/POPXv2LMYejhw5kgMHDuTo0aMZMmRIjhw5ktra2owdOzZPPPFEunfvnkmTJmXFihXF8qqqqmzdurUYI161alVmz56dsrKyVFRUZOHChUUfb+TIkdmyZUvGjRtXzGeenlvu3bt3HnvssYwePTrdunVL37598/jjj2fKlCnp06dPjh8/nhUrVqRfv35FW7ps2bKMHj06vXr1Smtra3bu3JmTJ0/m3HPPTVtbW9EPOnbsWHr06JG+ffumW7duxX1i7ty5ufTSS7Nt27bs2rUrU6dOzcqVK9Pc3Fzku3Xr1iQpxoyPHTuWnj17Fve8IUOGpLOzM0888URGjRqVHj16ZM2aNRk3blzRB1y6dGmGDx+e/v37F3M3Xbt2zZAhQ/LII49k1qxZ2bhxY/bu3ZvRo0dn69atRZ9hx44daWpqypQpU7J58+Zs2rQpV199dSoqKor8T4/nTZo0KaVSqZhnON0+jRgxIosXL059fX3OOeecbNy4MQ0NDZk7d26uu+66LFq0qGhX9u3bl4aGhuL6uOaaa7Jz58707ds3CxYsKL4HMXny5NTU1GTevHmZPn168ax2/vnnZ926dRk7dmyam5uLuajKyspMnjw5R48ezeDBg7Nz586UlZXl2LFjqaury8qVK4tv3cycObMYF62rq8uQIUOyefPmNDc3Z/LkyVm8eHEGDBhQ9FsGDhyY1tbWdOvWLXv37i3G8JuamjJ16tQ8/PDD6dmzZy666KK0t7cXYw0jRozIvHnzUllZmUmTJuXQoUMpLy9P7969s3v37uzfv78Y7xs6dGiam5uLPsvp7wmdjp0YOnRoHn744fTu3TsHDx7MpEmTinjSyZMnp0+fPtm2bVuSpK6uLkeOHMnatWszadKktLW1FTGCF198cRYvXpzu3bunsbEx5eXlaW9vz+te97o8+uijqaqqyogRI9LU1JTOzs5cdNFFSZ7/BlVHR0cGDRpUfJtowYIFxbEZNmxYVq5cmbPPPjtr165Nt27dinmx888/P88++2z69euXbt26Zf369Rk5cmTWrFmTK6+8shgD2bVrV3EfufDCC7Nr167s27cvgwYNypEjR7J3794cOHAg1157bR555JEMHz48LS0tOXjwYK655prMnz8/F1xwQebPn59evXqlpaWlGLs6ceJEampqMmzYsGzfvj0XXXRRli1bVrT5I0eOzIIFCzJ58uQ899xzmTp1ao4fP17Mc2zatCk1NTXp6OjI7t27c9555xVjDvv378+gQYOKtqelpaWIpRoxYkQxt7JkyZJiLmDJkiXp2bNn6uvrM2rUqGzZsiV79uwpxkfHjBmT8vLyHD16tOiDPfXUU+ns7MyIESPS3t5e9GvWr1+fMWPG5PDhw2lpacm0adOyZMmSDBgwIBUVFRkyZEjmzJmThoaG4p5+8uTJVFZWJnn++1Dbtm3LxRdfnHnz5hXX+en4qJEjRxZ9ubq6uuzevTvjx48v5mXvv//+1NTUpKysLP379y/ilsaMGZNhw4blJz/5SbGfu3fvTkVFRbZt25bLLrss8+fPz2WXXVY80+7du7cYPxs3blzRTp+OO7r00ktz4sSJLFu27AV94C1btqR3795FX6579+7FdpJk9OjReeSRR1JWVpbBgwcXcz+n299zzjmnaJtP9y2GDBlSfCvj0UcfTc+ePXPs2LGMGTMm/fr1K+L41q5dW7QXnZ2dxbh2r169ivH+0+OJp+eVR4wYkYqKiuJ5qrW1NePHj8+ePXuybdu2HD58OEOGDMn27dszcODANDc3Z8aMGSmVStm8eXN27NiRadOmFbFfp/trffr0Se/evVNTU5PVq1enVCqlS5cuqaioyPnnn59ly5alo6Mj06ZNy4IFC4o53CuuuCKrV68uvj1zen7o9DPlsmXLin0+dOhQrrnmmqxduza7d+/OiBEjMnz48MyfPz8zZswo4peam5tfML60bNmy7N27N7NmzSrGjhYvXpwLL7ww+/btS9euXdPU1JQLLrggTzzxRDHevHjx4mJe/PTY8unv5ezevTv9+vVLjx49kiR33313Ro0alZ07d+aKK67I/fffX9xnHnvssWLu4HSfvra2Nnv37s0b3vCGLF++PHv37k1HR0dxr7jkkkvy4IMPpmvXrunXr18GDBiQXr165emnn87hw4czYsSIYn7g4MGD6dKlSwYMGJCqqqriGxrbt28v7rdz5szJFVdckTlz5qR3796pra1N9+7dM2zYsDzzzDM5fvx4unXrlqlTp+bw4cNJnv8+7tGjR7Nz5870798/TU1Nqaury8CBA4tz6vDhw9m6dWtmzZqV5557LtXV1Tl48GBmzJiR7du3Z9euXcWYSnV1dTZt2pTevXunVCqluro6hw4dyuTJk4s5twEDBuTee+/N7NmzU1dXV/RTTz+PdOnSJceOHcuOHTtyzjnn5Pjx49myZUu6deuW6dOn5+mnn8706dOLsYFDhw5l6NChefTRRzNx4sQsXrw4ZWVlOeecc4pxivPPP7+IyVu8eHGuueaazJs3LzNnzswTTzyR8vLyzJw5M+vXry+u95+9X2zfvj3jx49PW1tbHn744Zxzzjmpr68v5t179OiRLl265OjRo1m7dm3Kyspy9tlnZ/v27amvry/m/k/PzRw4cKCIxZk4cWK6dOmS7t27Z8eOHVm3bl3OPvvsLF++POPGjSvm1MvKyjJx4sRs3bo1ZWVlxXzu3r17i5ic0+fX+PHj07t378yZM6eYbzz9Hdfk+W+ETpkypRiPGjZsWPr165dnnnkm06dPz5o1azJy5MgcPXq0iHddtmxZBg0aVDzT19TUpKKiomjzT8/zNjQ05LnnnsugQYMyceLEdHZ2prOzMzt27HhB/7O1tfUF4z/V1dUplUoZPnx4MaawZcuWXHjhhdm6dWtOnjyZ0aNH59FHHy3iFX42BuJ0rGFra2suuuiiNDU1ZcuWLbngggsyb968DB8+PAcOHMiFF16YvXv3ZvXq1Tn77LPzzDPPZOLEiRk4cGB++tOfpqamJmPGjCmec4cMGZK9e/fmueeeK+KB2traMmXKlPTq1SuVlZWZN29eLr/88ixatKj4ZliSVFVVZeHChWlpack555xT9DtOt5c/ezwHDRqUkydPpqKiIlu3bi3aj+HDh6exsTHTp0/Pzp07izng03EWzz33XC6//PKcPHkyjz32WDGWU1dXl9mzZ+fIkSNZvHhxZs+eXfTV+/Xrl1KplIqKitTX1xdzDnPmzCm+/X3ttdfm2WefzaFDhzJmzJjimef0c9PQoUOzf//+tLa25qqrrsqxY8eKmI1rrrkmnZ2dmT9/ftra2nLeeedl8eLF6dmzZ84777xUVVUVzzJPPPFExo8fn61bt2bgwIFFPFRra2taW1tzwQUXFMdt1KhRRf/j9BzfhAkTivj1PXv2FP2Fbdu2ZcqUKZkzZ05GjRqVvn37Zu3atZkxY0Zxvs6cOTPPPvtsMYd1OgarX79+2bt3b7p3716MtVRVVaV///7p2bNn6urqMn/+/NTX16e+vj779u1Le3t78U7A6b5le3t7GhoasmPHjgwYMCBPPvlkMTYwZcqUPP7446mqqsqgQYNSX1+fY8eOpU+fPsW4yqZNm4rY5O3bt2fQoEHFvMbpWJCnnnqqmKd67rnn0qNHj9TX16e8vDx79uxJ3759i/cKkue/9d7e3l7M4Z4eu9u7d28x3ta9e/f06NEjtbW1efTRRzN9+vSsXLkydXV1xVjj4MGDs2nTpmzcuDG9evXKkCFDinvlunXrMmnSpMyfPz9TpkxJbW1tmpqa0qVLl6xcuTLXXnttTpw4kY0bNxbj5oMGDcrq1avT2NiYurq6jBkzJsePH09jY2MRezdz5swivq9bt27FNXq6D1peXp6xY8emvLy8GIM4PTc9YcKEPPHEExkwYEAaGxuLc3/Pnj0ZMWJEWltbM3LkyMyZMyfjx49Pz54909LSkt27d2f27Nm5++6709DQkN69e2fAgAHp7OzMokWLMnTo0OK73wcPHkxFRUUuueSSbNq0qcjv6quvzvHjx3PgwIEi9mDdunWpq6sr+nGnz/u+fftm7ty5qayszBVXXJENGzZkz549xTx6WVlZlixZkhMnTuSyyy5LWVlZFixYkJkzZxbPmkePHk2SzJo1K1u3bs2IESOyYsWK4lo+HY8zZMiQVFVVZdGiRcU7NlOnTi2+R7hv375iTmfChAlZunRpzjnnnAwZMiRJ8tBDD+Xss88uzpXk+XeeDh8+nG7dumXz5s1FrNjAgQOLMfvT72EsWrSoOPcfe+yxlEqljBgxIqNGjSrmy+rr67Nr16706tUrdXV1GTBgQNavX5/GxsbimbC9vb14XmxoaMiwYcNy/PjxLF++PJMnT05LS0sWLlyYcePGZezYsdmyZUvxTffTc1Ldu3fPJZdckpaWlixZsiRDhw7Npk2bMm3atHR2dmbr1q3FuGhLS0sxP33y5MkMGDAgtbW12bZtW5599tmcddZZ2bFjR44fP158W27FihWZOnVqMWc9derUYgyuf//+qaqqysCBA4vvAI8aNSqrV6/OhAkTMm/evIwePTq7du3KRRddlHvuuScNDQ05ePBgRo4cmRUrVmTYsGEplUpFjNeyZctecL22trYWsZun+2adnZ0ZPHhwBg0alMcffzylUikTJkzIihUr0rVr1/To0SMXXHBBVq9endra2nR0dKS9vb0Y866pqcmyZcsybty4VFVVFfGsF1xwQTZu3JjGxsbMnj07J06cyLx583LllVdm165dGTlyZFpbW3P48OE8++yzGTZsWDH+WiqViv7j6TZ+2LBhWb9+fdFX2Lp1a/E83LNnz5w4cSI7duzIueeem4qKinTr1i333XdfpkyZksOHD2fo0KHZtm1b0RZceeWVWb58eVpaWlJTU5NRo0YV8/2nr5/BgwcX+/TAAw8U8wkXXHBB9uzZk87OzmzcuLEYT+3o6MiIESOKedaOjo5s27YtFRUVxXjc9OnT097eniVLlmT69OnFvNvSpUtz6aWX5sEHH0xFRUVqamqK5/VDhw5lyJAh6devXxYvXpza2tqcffbZOXHiRBHLfXquaPny5eno6MiQIUOyYsWKXHfdddm7d2/69OmTRx55pHjfqrW1NSdPnky/fv0ycODAHD16ND179szOnTuLZ9/Kysrs3LkzQ4YMSalUKuKLWlpacskll2TZsmVpaWlJWVlZxo8fnwMHDqSlpaWIaz4dG1hdXV2MDZ6ew7v33ntfFG81ZcqU4r2b0/HNFRUVaW9vT1VVVREvMnny5Ozduzft7e1FHMPZZ5+dPXv25MiRIzl27FguuOCC7Ny5Mz169MiyZcty7NixTJ8+Pfv3709zc3NGjRqVqqqq4v3nrl27pqWlJcOHDy/mt9vb2zNmzJisXbs255xzTvEdy5kzZ2bp0qXFvHjv3r2L8fzTbfywYcOycePGTJ8+PTU1NUV87/XXX5+mpqZs3rw55557bvbv359du3YV7yyOHz8+K1euLM7XoUOHZteuXcXxmzVrVtrb2/Poo4/m/PPPL9rwkydPFv8fFOvWrcvmzZtTWVlZxFBPmTIly5cvz4UXXpht27YVMcHNzc2ZOHFiVq5cmQsuuCBLlix5wf1r1KhRxTP36bik08+l5513XkqlUrZs2ZKjR49m0qRJWb9+fUaMGFHMpZ1+1hgzZkyampqyatWqlJeXp7Ozs+hHnT6OO3fuzMiRIzN06NA8/fTTxfPn9ddfnx07duTo0aPZtGlTLr/88hw/fjzl5eVZtmxZjh49mpkzZ2bOnDkZOnRoqqqq0tjYWMRtn/5+8OlnwtN9vNNjIIcPHy7iFTs6OnL8+PF0dHRk1qxZaW1tLdqb48ePp7W1tWgrTserL126NNddd10efvjhdHZ2pqKiIuPGjSvGirt3715c++vWrcvw4cOzatWq1NXVZefOnWltbc3UqVPT2NiYMWPG5NChQ9m5c+cLynr6OJ6Oy5szZ06GDx+eHTt2FLHoAwYMSHt7e0aPHp1169alS5cuqaysLK7/AQMGFPFygwYNSq9evdLW1pYDBw4UY0+LFy9Ojx49Mnjw4JSXlxfn4enYvi1btuSqq65Ka2trHnnkkUyfPj3PPvtspk+fnt69e2fnzp2prKzM0aNHi/Z03bp1Rcxj165ds2HDhmzfvj2jRo1KbW1tFixYkKqqqiKe5Omnny7ixk+/h9rY2JgePXpk4sSJRazB6bmP7t27p7q6OpWVlenWrVuqqqpy4sSJIv6lo6Mjffr0ycaNG9O/f/+Ul5dn+PDheeyxx3L55Zdn165d6datW5qamoox9NNzUafj1Kqrq7Nq1apiTK1bt27F8+PpcaLKysoiHmv48OFFPPCuXbtSXl6egwcPZsqUKdm6dWsxJtfR0ZHq6uosWrSomHubOnVqli9fnoqKilRVVaVv374ZNGhQqquri7jb/v37p2vXrnnggQcyefLkYs6jX79+aWlpSe/evdOlS5fs2bMn+/fvzxVXXJEFCxZk0KBB6dKlS3bs2JFDhw4V8VETJkx40Ts6x48fz+DBg4tYoJkzZ+bJJ5/MlClT0r179zQ3N6e9vT01NTV57rnnirbwdFzcyJEjs2TJkuzbt694T/ySSy7Jnj17MmjQoGKcauTIkVm9enWGDRuWxsbGTJgwofie9Ol5vpaWliJ263R8Zn19fXEdJc+/a9PS0pKTJ09m06ZN6du3b8aPH5+mpqZs3bo1Q4YMyeHDhzNu3Lg89dRTxTE6va+n26kNGzZk5syZOXLkSHEPPz2fePDgwVRXV6dv377F89XIkSOzbt26lJeXZ9asWdm7d28OHjxYvL9xei53xIgRmTNnTi699NK0t7enpaUlGzduTEdHR2bOnJn7778/AwcOzLRp0zJnzpwiDr2tra14z6KioiJPPvlkunXrlp49e77ofD09jnL6HfCtW7cW7/oMHTo0GzduLObYBw8e/IJni8rKyuJd4PHjx2fnzp3FnMfpZ/g9e/YU73aefj/7dEzeyZMnk6S4p5x+x+r0nN369eszcODAbN++PVOmTCneFRgyZEj69u2bUqmUNWvWpEePHpkwYUIaGxuzefPmXHvttdm9e3cqKytf1FbU1tamsbGxeLejVCrl4osvTnV1dRHHd3pMdt++fenXr1+GDBmSHTt2FPEjtbW16dGjR1pbW7N+/fp069YtdXV1xdzf6XGT2traHD9+PHV1dWlsbEyfPn0ybNiwYm5r1qxZeeCBB9KvX79iDmTq1KnZvn17Vq1alRkzZuTo0aNZv359Zs6cmQMHDqRv377p7OzMI488kiS5+uqr88gjj6ShoaFoa16ufZg4cWKOHTuW3bt3p729vZh73LhxYy677LIifunKK6/M0qVL079//+Ldwn379qV///4ZOnRo8d7TokWLcvXVVxdzd6djiBsbG4t5o9P7ct5556Wuri6rV68u4jTGjx9fxBCcvo/+9m//9tQkfZOMSNIrSWuSdUl6JKlIMiTJjiQHktQnaU5yMEnPJKOTLD3178gkh06tb0iyKsmJU/kMSbI9SXWSTUkOJ5mZpHuSnafSb0tyJMm4JG1JHs/z/39+Y5MMTfJYksok557K8/QHdUYneTrJlCQrT5Vxz6ny9DtVjvokW06ln52kLMmyJOVJ9p0qR9dT+3jBqfxPf7Dj2Kn8uiY5firf7qfK2HQq77Yk+5NcmmROkkFJtia5LsnaU8d0wql9HJJk/altHEsy7dRv6pJMTfLTU9s9vT/nnipXW5L2U8frd5LsTtLnVB09cGpfKk+VofHU9kef2sbaJJef2u45SY6e2qcDSWqTnH3qeOw+VYYDp3438NR+lSUZdqrMyfP113jqWDyRpDPP1+dTp7Y59FS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          },
          "metadata": {}
        }
      ],
      "source": [
        "n_qubits = 25\n",
        "n_layers = 2\n",
        "\n",
        "dev = qml.device(\"lightning.kokkos\", wires=n_qubits)\n",
        "\n",
        "@qml.qnode(dev)\n",
        "def eqc(adjacency_matrix, observable, trainable_betas, trainable_gammas):\n",
        "    \"\"\"Circuit that uses the permutation equivariant embedding\"\"\"\n",
        "\n",
        "    perm_equivariant_embedding(adjacency_matrix, trainable_betas, trainable_gammas)\n",
        "    return qml.expval(observable)\n",
        "\n",
        "\n",
        "A = create_data_point(n_qubits)\n",
        "betas = np.random.rand(n_layers)\n",
        "gammas = np.random.rand(n_layers)\n",
        "observable = qml.PauliX(0) @ qml.PauliX(1) @ qml.PauliX(3)\n",
        "\n",
        "qml.draw_mpl(eqc, decimals=2)(A, observable, betas, gammas)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TIHRQVnDjAmi"
      },
      "source": [
        "Validating the equivariance\n",
        "===========================\n",
        "\n",
        "Let\\'s now check if the circuit is really equivariant!\n",
        "\n",
        "This is the expectation value we get using the original adjacency matrix\n",
        "as an input:\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "ZCFN2RkSjAmj",
        "outputId": "7fea1e38-3264-4361-f750-8564957f85bd"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for A: -0.0004260242133545734\n"
          ]
        }
      ],
      "source": [
        "result_A = eqc(A, observable, betas, gammas)\n",
        "print(\"Model output for A:\", result_A)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ncmkAwH-jAmj"
      },
      "source": [
        "If we permute the adjacency matrix, this is what we get:\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "KjwEdmGXjAmj",
        "outputId": "07dae1b5-2bc4-41c5-ed77-1d409ca4a446"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for permutation of A:  -0.22055400337476885\n"
          ]
        }
      ],
      "source": [
        "perm = [2, 3, 0, 1, 4]\n",
        "A_perm = permute(A, perm)\n",
        "result_Aperm = eqc(A_perm, observable, betas, gammas)\n",
        "print(\"Model output for permutation of A: \", result_Aperm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZOIqQmysjAmj"
      },
      "source": [
        "Why are the two values different? Well, we constructed an *equivariant*\n",
        "ansatz, not an *invariant* one! Remember, an *invariant* ansatz means\n",
        "that embedding a permutation of the adjacency matrix leads to the same\n",
        "state as an embedding of the original matrix. An *equivariant* ansatz\n",
        "embeds the permuted adjacency matrix into a state where the qubits are\n",
        "permuted as well.\n",
        "\n",
        "As a result, the final state before measurement is only the same if we\n",
        "permute the qubits in the same manner that we permute the input\n",
        "adjacency matrix. We could insert a permutation operator\n",
        "`qml.Permute(perm)` to achieve this, or we simply permute the wires of\n",
        "the observables!\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "id": "MgYVIMP6jAmj"
      },
      "outputs": [],
      "source": [
        "observable_perm = qml.PauliX(perm[0]) @ qml.PauliX(perm[1]) @ qml.PauliX(perm[3])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pb21hBrLjAmj"
      },
      "source": [
        "Now everything should work out!\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "tpzF6L3TjAmj",
        "outputId": "4c902802-e096-457e-c096-f24070c1cdcb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model output for permutation of A, and with permuted observable:  -0.32832424240895786\n"
          ]
        }
      ],
      "source": [
        "result_Aperm = eqc(A_perm, observable_perm, betas, gammas)\n",
        "print(\"Model output for permutation of A, and with permuted observable: \", result_Aperm)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0wblJk9mjAmj"
      },
      "source": [
        "Et voilà!\n",
        "\n",
        "Conclusion\n",
        "==========\n",
        "\n",
        "Equivariant graph embeddings can be combined with other equivariant\n",
        "parts of a quantum machine learning pipeline (like measurements and the\n",
        "cost function). [Skolik et al.\n",
        "(2022)](https://arxiv.org/pdf/2205.06109.pdf), for example, use such a\n",
        "pipeline as part of a reinforcement learning scheme that finds heuristic\n",
        "solutions for the traveling salesman problem. Their simulations compare\n",
        "a fully equivariant model to circuits that break permutation\n",
        "equivariance and show that it performs better, confirming that if we\n",
        "know about structure in our data, we should try to use this knowledge in\n",
        "machine learning.\n",
        "\n",
        "References\n",
        "==========\n",
        "\n",
        "1.  Andrea Skolik, Michele Cattelan, Sheir Yarkoni,Thomas Baeck and\n",
        "    Vedran Dunjko (2022). Equivariant quantum circuits for learning on\n",
        "    weighted graphs.\n",
        "    [arXiv:2205.06109](https://arxiv.org/abs/2205.06109)\n",
        "2.  Quynh T. Nguyen, Louis Schatzki, Paolo Braccia, Michael Ragone,\n",
        "    Patrick J. Coles, Frédéric Sauvage, Martín Larocca and Marco Cerezo\n",
        "    (2022). Theory for Equivariant Quantum Neural Networks.\n",
        "    [arXiv:2210.08566](https://arxiv.org/abs/2210.08566)\n",
        "\n",
        "About the author\n",
        "================\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "seconds = time.time()\n",
        "print(\"Time in seconds since end of run:\", seconds)\n",
        "local_time = time.ctime(seconds)\n",
        "print(local_time)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "HFTIJBPqph2f",
        "outputId": "fd82f46f-ffc1-4bdf-f4ec-6bb43b5d2f82"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Time in seconds since end of run: 1701155803.6956398\n",
            "Tue Nov 28 07:16:43 2023\n"
          ]
        }
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
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      },
      "file_extension": ".py",
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      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
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    },
    "colab": {
      "provenance": [],
      "gpuType": "V100",
      "machine_shape": "hm"
    },
    "accelerator": "GPU"
  },
  "nbformat": 4,
  "nbformat_minor": 0
}